Maine Learning Results: Mathematics- C. Geometry
Geometric Figures
Grades 9-Diploma
3. Students understand and use basic ideas of trigonometry.
b. Use trigonometry to solve for missing lengths in right triangles.
What understandings are desired?
Students will understand that:(U)
•Trigonometry is a branch of Mathematics that deals mainly with right triangles, and the relationships between their sides and angles.
•The six trigonometric functions are essential in solving for unknowns within a right triangle.
•The unit circle is a fundamental part of Trigonometry.
What essential questions will be considered?
Essential Questions:(Q)
•How are the sides and angles of a right triangle related?
•How are the essential trigonometric functions related to each other?
•Why is the unit circle an important concept in Trigonometry?
What key knowledge and skills will students acquire as a result of this unit?
Students will know:(K)
Students will be able to do:(S)
•Important Formulas: sin, cos, tan, cot, sec, csc.
•Terminology: reciprocal, opposite, adjacent, unit circle.
•Relationships: between trigonometric functions, and
between the different parts of a triangle.
•Show the relationships between the six trigonometric functions.
•Make sense of the unit circle, and its relationship to the trigonometric functions.
•b. Use trigonometry to solve for missing lengths in right triangles.
•Compare different approaches to solving problems.
•Relate trigonometry to real-life situations.
•Recognize which trigonometric functions should be used in certain
contexts.
Stage 1 Identify Desired Results
Geometric Figures
Grades 9-Diploma
3. Students understand and use basic ideas of trigonometry.
b. Use trigonometry to solve for missing lengths in right triangles.
What understandings are desired?
•The six trigonometric functions are essential in solving for unknowns within a right triangle.
•The unit circle is a fundamental part of Trigonometry.
What essential questions will be considered?
•How are the essential trigonometric functions related to each other?
•Why is the unit circle an important concept in Trigonometry?
What key knowledge and skills will students acquire as a result of this unit?
•Terminology: reciprocal, opposite, adjacent, unit circle.
•Relationships: between trigonometric functions, and
between the different parts of a triangle.
•Make sense of the unit circle, and its relationship to the trigonometric functions.
•b. Use trigonometry to solve for missing lengths in right triangles.
•Compare different approaches to solving problems.
•Relate trigonometry to real-life situations.
•Recognize which trigonometric functions should be used in certain
contexts.